Answer:
F = 254.08N Θ = 72.03°
Step-by-step explanation:
First of all we find the resolution in both x and y axis
∑Fx = 170cos87 + 100cos46 = 78.36N
∑Fy = 170sin87 + 100sin46 = 241.70N
To find the resultant vector we use pythagorean theorem
F = √(∑Fx)² + ∑(Fy)²
F = √(78.36² + 241.70²)
F = √(64559.1796)
F = 254.08N
the angle between both force can be obtained using
tanθ = ∑Fy / ∑Fx
tanθ = 241.70 / 78.36
tanθ = 3.084
Θ = tan⁻ 3.084
Θ = 72.03°
2w + 2 ( 2 + w ) = 32
2w + 4 + 2w = 32
4w = 28
w = 7
length = 2 + 7
= 9
area = 9 × 7
= 63 in^2
21.5 degrees
Subtract 180 from 48.3 and then add it to 26.8. Take this value and subtract it from 180 and you will get a final answer of 21.5
The median is 6
the mode is 7
and the mean is 22
